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105506083 = 234587221
BaseRepresentation
bin1100100100111…
…10010100100011
321100112021010201
412102132110203
5204002143313
614245210031
72420533624
oct622362443
9240467121
10105506083
1154612311
122b400917
1318b20a47
1410025a4b
1593e10dd
hex649e523

105506083 has 4 divisors (see below), whose sum is σ = 110093328. Its totient is φ = 100918840.

The previous prime is 105506059. The next prime is 105506087. The reversal of 105506083 is 380605501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 380605501 = 419283061.

It is a cyclic number.

It is not a de Polignac number, because 105506083 - 213 = 105497891 is a prime.

It is a super-3 number, since 3×1055060833 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105506087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2293588 + ... + 2293633.

It is an arithmetic number, because the mean of its divisors is an integer number (27523332).

Almost surely, 2105506083 is an apocalyptic number.

105506083 is a deficient number, since it is larger than the sum of its proper divisors (4587245).

105506083 is an equidigital number, since it uses as much as digits as its factorization.

105506083 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4587244.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105506083 is about 10271.6154036257. The cubic root of 105506083 is about 472.5261342543.

The spelling of 105506083 in words is "one hundred five million, five hundred six thousand, eighty-three".

Divisors: 1 23 4587221 105506083